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The Uncertainty Principle04:08

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Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
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Counting is the type of measurement that is free from uncertainty, provided the number of objects being counted does not change during the process. Such measurements result in exact numbers. By counting the eggs in a carton, for instance, one can determine exactly how many eggs are there in the carton. Similarly, the numbers of defined quantities are also exact. For example, 1 foot is exactly 12 inches, 1 inch is exactly 2.54 centimeters, and 1 gram is exactly 0.001 kilograms. Quantities...
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In analytical chemistry, we often perform repetitive measurements to detect and minimize inaccuracies caused by both determinate and indeterminate errors. Despite the cares we take, the presence of random errors means that repeated measurements almost never have exactly the same magnitude. The collective difference between these measurements - observed values - and the estimated or expected value is called uncertainty. Uncertainty is conventionally written after the estimated or expected value.
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All the digits in a measurement, including the uncertain last digit, are called significant figures or significant digits. Note that zero may be a measured value; for example, if a scale that shows weight to the nearest pound reads “140,” then the 1 (hundreds), 4 (tens), and 0 (ones) are all significant (measured) values.
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The confidence interval is the range of values around the mean that contains the true mean. It is expressed as a probability percentage. The interpretation of a 95% confidence interval, for instance, is that the statistician is 95% confident that the true mean falls within the interval. The upper and lower limits of this range are known as confidence limits. The confidence limits for the true mean are estimated from the sample's mean, the standard deviation, and the statistical factor...
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An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
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High-throughput Screening for Chemical Modulators of Post-transcriptionally Regulated Genes
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Uncertainty quantification in ToxCast high throughput screening.

Eric D Watt1,2, Richard S Judson1

  • 1U.S. Environmental Protection Agency, National Center for Computational Toxicology, Research Triangle Park, North Carolina, United States of America.

Plos One
|July 26, 2018
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Summary
This summary is machine-generated.

Uncertainty quantification in high-throughput screening (HTS) data improves chemical toxicity predictions. This method enhances confidence in risk assessments by identifying potential false positives and negatives from HTS assays.

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Area of Science:

  • Toxicology
  • Computational chemistry
  • Data science

Background:

  • High-throughput screening (HTS) generates vast chemical toxicity data, necessitating robust analysis methods.
  • Existing models predict chemical toxicity but often lack thorough uncertainty quantification.
  • Understanding uncertainty propagation is crucial for reliable HTS-based toxicity predictions.

Purpose of the Study:

  • To explore the impact of parameter estimation uncertainties on HTS-derived toxicity predictions.
  • To quantify uncertainty in model outputs using HTS data.
  • To enhance the reliability of chemical toxicity predictions for risk assessment.

Main Methods:

  • Nonparametric bootstrap resampling was used to calculate uncertainties in concentration-response parameters from HTS assays.
  • The ToxCast estrogen receptor bioactivity model served as a case study for uncertainty propagation.
  • Uncertainty in model outputs was quantified to assess prediction reliability.

Main Results:

  • Uncertainty quantification identified potential false positives and false negatives in toxicity predictions.
  • The distribution of model values around activity cutoffs was determined, increasing prediction confidence.
  • High-variability chemical-assay results were flagged for manual review, optimizing expert resources.

Conclusions:

  • This study demonstrates a robust method for uncertainty quantification in HTS data analysis.
  • Improved confidence in HTS predictions facilitates their use in chemical risk assessment.
  • The approach enhances the accuracy and reliability of predicting chemical bioactivity and toxicity.